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Finding the Third Proportional to 31,912.88 and 66,450.38

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Solution

The third proportional to 31,912.88 and 66,450.38 is: 138,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.88 : 66,450.38 = 66,450.38 : x
  2. Step 2: Convert to fraction form
    31,912.88/66,450.38 = 66,450.38/x
  3. Step 3: Cross multiply
    31,912.88x = 66,450.38 × 66,450.38
  4. Step 4: Simplify right side
    31,912.88x = 4,415,652,337.64
  5. Step 5: Solve for x
    x = 4,415,652,337.64/31,912.88
  6. Step 6: Final answer
    x = 138,365.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.